document.write( "Question 292614: The sales price of a car is $12,590, which is 20% off the original price. What is the original price? \n" ); document.write( "
Algebra.Com's Answer #211313 by Theo(13342)![]() ![]() You can put this solution on YOUR website! S = Sale price of car = $12,590.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "O = Original price of car which is yet to be determined.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The original price of the car minus 20% is equal to the sale price of the car.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In equation form, this means:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "O - .2*O = S\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Simplify this to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "O * (1-.2) = S\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Simplify this further to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".8*O = S\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides of this equation by .8 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "O = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since S = 12590, this becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "O = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Simplify this to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "O = 15737.5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The original price of the car should be $15,737.50\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To confirm, plug this value into the original equation to see if it's true.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The original equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "O - .2*O = S\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute 15737.5 for O to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15737.5 - .2*15737.5 = S\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Simplify to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15737.5 - 3147.5 = S\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Simplify further to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "12590 = S\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since S = 12590 is the same sales price that we started with, the answer is confirmed as good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The original price of the car was $15,737.50.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |